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Finding the Fourth Proportional to 29,062.70, 40,105.16 and 16,142.81

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Solution

The fourth proportional to 29,062.70, 40,105.16 and 16,142.81 is: 22,276.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,062.70 : 40,105.16 = 16,142.81 : x
  2. Step 2: Convert to fraction form
    29,062.70/40,105.16 = 16,142.81/x
  3. Step 3: Cross multiply
    29,062.70x = 40,105.16 × 16,142.81
  4. Step 4: Simplify right side
    29,062.70x = 647,410,001.59
  5. Step 5: Solve for x
    x = 647,410,001.59/29,062.70
  6. Step 6: Final answer
    x = 22,276.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.